MTU Library Catalogue

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Advanced engineering mathematics / Dennis G. Zill and Michael R. Cullen.

By: Zill, Dennis G, 1940-.
Contributor(s): Cullen, Michael R.
Material type: materialTypeLabelBookPublisher: Sudbury, Mass : Jones and Bartlett, 2000Edition: 2nd ed.Description: xvi, 926 p. : ill. ; 26 cm. + pbk.ISBN: 0763710652.Subject(s): Engineering mathematicsDDC classification: 620.00151
Contents:
Part 1: Ordinary differential equations -- Introduction to differential equations -- First-order differential equations -- Higher-order differential equations -- The laplace transform -- Series solutions of linear equations -- Numerical solutions of ordinary differential equations -- Part 2: Vectors, matrices and vector calculus -- Vectors -- Matrices -- Vector Calculus -- Part 3: Systems of differential equations -- Systems of linear differential equations -- Systems of nonlinear differential equations -- Part 4: Fourier series and partial differential equations -- Orthogonal functions and fourier series -- Boundary-value problems in rectangular coordinates -- Boundary-value problems in other coordinate systems -- Integral transform method -- Numerical solutions of partial differential equations -- Part 5: Complex analysis -- Functions of a complex variable -- Integration in the complex plane -- Series and residues -- Conformal mappings and applications.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 620.00151 (Browse shelf(Opens below)) 1 Available 00151605
General lending MTU Bishopstown Library Lending 620.00151 (Browse shelf(Opens below)) 1 Available 00099009
General lending MTU Bishopstown Library Lending 620.00151 (Browse shelf(Opens below)) 1 Available 00099008
Total holds: 0

Enhanced descriptions from Syndetics:

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Includes index.

Part 1: Ordinary differential equations -- Introduction to differential equations -- First-order differential equations -- Higher-order differential equations -- The laplace transform -- Series solutions of linear equations -- Numerical solutions of ordinary differential equations -- Part 2: Vectors, matrices and vector calculus -- Vectors -- Matrices -- Vector Calculus -- Part 3: Systems of differential equations -- Systems of linear differential equations -- Systems of nonlinear differential equations -- Part 4: Fourier series and partial differential equations -- Orthogonal functions and fourier series -- Boundary-value problems in rectangular coordinates -- Boundary-value problems in other coordinate systems -- Integral transform method -- Numerical solutions of partial differential equations -- Part 5: Complex analysis -- Functions of a complex variable -- Integration in the complex plane -- Series and residues -- Conformal mappings and applications.

Table of contents provided by Syndetics

  • Part I Ordinary Differential Equations
  • Chapter 1 Introduction to Differential Equations
  • 1.1 Definitions and Terminology
  • 1.2 Initial-Value Problems
  • 1.3 Differential Equations as Mathematical Models
  • Chapter 1 Review Exercises
  • Chapter 2 First-Order Differential Equations
  • 2.1 Solution Curves Without the Solution
  • 2.2 Separable Variables
  • 2.3 Linear Equations
  • 2.4 Exact Equations
  • 2.5 Solutions by Substitutions
  • 2.6 A Numerical Solutions
  • 2.7 Linear Models
  • 2.8 Nonlinear
  • 2.9 Systems: Linear and Nonlinear Models
  • Chapter 2 Review Exercises
  • Chapter 3 Higher-Order Differential Equations
  • 3.1 Preliminary Theory: Linear and Nonlinear Models
  • 3.2 Reduction of Order
  • 3.3 Homogenous Linear Equations with Constant Coefficients
  • 3.4 Undetermined
  • 3.5 Variations of Parameters
  • 3.6 Cauchy-Euler Equation
  • 3.7 Nonlinear Equations
  • 3.8 Linear Models: Initial-Value Problems
  • 3.9 Linear Models: Boundary-Value Problems
  • 3.10 Nonlinear Models
  • 3.11 Solving Systems of Linear Models
  • Chapter 3 Review Exercises
  • Chapter 4 The Laplace Transform
  • 4.1 Definition of the Laplace Transform
  • 4.2 The Inverse Transform and Transforms of Derivations
  • 4.3 Translation Theorems
  • 4.4 Additional Operational Properties
  • 4.5 Dirac Delta Function
  • 4.6 Solving Systems of Linear Equations
  • Chapter 4 Review Exercises
  • Chapter 5 Series Solutions of Linear Equations
  • 5.1 Solutions about Ordinary Points
  • 5.2 Solutions about Singular Points
  • 5.3 Two Special Equations
  • Chapter 5 Review Exercises
  • Chapter 6 Numerical Solutions of Ordinary Differential Equations
  • 6.1 Euler Methods and Error Analysis
  • 6.2 Runge-Kutta Methods
  • 6.3 Methods
  • 6.4 Higher-Order Equations and Systems
  • 6.5 Second-Order Boundary-Value Problems
  • Part II Vectors, Matrices, and Vector Calculus
  • Chapter 7